if a women lives with a man for 30years but he's still married when he dies and leaves her nothing does she have any claim to his astate

If he dies and owns property in his name, an estate may be opened. Property will pass from the estate in accordance with his will. If she is mentioned in the will, she may inherit. If there is no will, the law in most states dictates that property passes to lineal heirs (family). Check with a AR lawyer.